What is the Greatest Common Factor of 25051 and 25061?

Greatest common factor (GCF) of 25051 and 25061 is 1.

GCF(25051,25061) = 1

We will now calculate the prime factors of 25051 and 25061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25051 and 25061.

How to find the GCF of 25051 and 25061?

We will first find the prime factorization of 25051 and 25061. After we will calculate the factors of 25051 and 25061 and find the biggest common factor number .

Step-1: Prime Factorization of 25051

Prime factors of 25051 are 13, 41, 47. Prime factorization of 25051 in exponential form is:

25051 = 13¹ × 41¹ × 47¹

Step-2: Prime Factorization of 25061

Prime factors of 25061 are 19, 1319. Prime factorization of 25061 in exponential form is:

25061 = 19¹ × 1319¹

Step-3: Factors of 25051

List of positive integer factors of 25051 that divides 25051 without a remainder.

1, 13, 41, 47, 533, 611, 1927

Step-4: Factors of 25061

List of positive integer factors of 25061 that divides 25051 without a remainder.

1, 19, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25051 and 25061. The biggest common factor number is the GCF number.
So the greatest common factor 25051 and 25061 is 1.

Also check out the Least Common Multiple of 25051 and 25061